Purchase Solution

Conditional Mass Function

Not what you're looking for?

Ask Custom Question

#40. Two dice are rolled. Let X and Y denote, respectively, the largest and smallest values obtained. Compute the conditional mass function of Y given X = i, i = 1, 2, 3, 4, 5, 6. Are X and Y independent? Why?

(Question is also included in attachment)

Attachments
Purchase this Solution
Solution Summary

This shows how to compute the conditional mass function for a given dice situation.

Solution Preview

- If X = 1, then P(Y|Y< = X=1) = P(Y=1) = 1/6
- If X = 2, then Pr(Y|Y< = X=2) = P(Y=1 or Y=2) ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Probability: Joint Probability Mass Function, Covariance and Variance

    Determine a) the marginal probability mass function of X b) the probability mass function of Y c) the conditional probability mass function of X given Y = 0 d) the probability mass function of Z = X + Y e) the conditional probability mass function

  • Moment Generating Function, Marginal & Conditional Distribution

    The joint probability mass function for random variables X and Y is: FXY (x, y) =(x + y)/32; x = 1, 2; y = 1, 2, 3, 4 (a) Show that fXY is a valid mass function. (b) Find the marginal distributions of X and Y.

  • Probability Mass Functions and Conditional Distributions

    163479 Probability Mass Functions and Conditional Distributions Please show each step of your solution. Solve for only for part(d) and (e) Thank you. Please see the attached file for the complete solution. Thanks for using BrainMass.

  • Random Number Sets

    a) Find the joint p.m.f. of X and Y b) Find the conditional mass function of X given that Y = i. Do it for i = 1,2,3,4,5 c) Are X and Y independent? Why?

  • Mixing the Constant with the Normal

    Then by a), b) and c), we can write the conditional probability density function as follows. ................(*) Note 1): (*) shows that the conditional probability distribution is a normal distribution with mean

  • Marginal and Conditional Random Variables

    The joint distribution function (j.d.f) is: (1.1) The marginal density function is defined as: (1.2) In our case, since the j.d.f is zero outside of the unit circle, the integration limits are thus: (1.3) The conditional probability

  • Programming Concepts

    For example, do you limit the function to a certain number of lines of code, to a set of common function? The C/C++ language has two different types of conditional statements (if-else and switch-case).

  • True/False questions on integer programming

    It is for maximization problems that the optimal relaxed objective function value is an upper bound on the optimal integer value. 4. If we are solving a 0-1 integer programming problem, the constraint x1 = x2 is a conditional constraint.

  • Probability and conditional distributions

    Let f(x|y) denote the conditional density function of X|Y and f(x,y) be the joint density of (X,Y). We know that Given that Y|X=x ~ Bin(x, p) and X~ Poisson ( ). Then .

View More Related Solutions